Dragging a polymer in a viscous fluid

Steady state and transient

Takahiro Sakaue, Takuya Saito, Hirofumi Wada

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual macromolecules, which offers a paradigm research for probing far-from-equilibrium responses of long flexible biological polymers. We first analyze the Rouse model for the Gaussian chains for which the exact analytical results can be obtained. More realistic features such as the finite extensibility, the excluded volume, and the hydrodynamic interactions are taken into account with the help of the scaling argument, which leads to various nontrivial predictions such as the force-dependent friction constants. We elucidate (i) generalized dynamical equations of state describing extension and friction laws in steady-state and (ii) the tension propagation laws in the transient process. We point out that the time evolutions of the dynamic friction in the transient process crucially depend on the experimental protocol, i.e., either constant force or constant velocity ensemble. These predictions could be verified in experiments using giant DNAs and chromosomes.

Original languageEnglish
Article number011804
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number1
DOIs
Publication statusPublished - Jul 26 2012

Fingerprint

viscous fluids
Viscous Fluid
Polymers
Friction
friction
polymers
Hydrodynamic Interaction
Prediction
chromosomes
predictions
Conformation
macromolecules
Equation of State
Chromosome
Ensemble
equations of state
deoxyribonucleic acid
Paradigm
hydrodynamics
Scaling

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Dragging a polymer in a viscous fluid : Steady state and transient. / Sakaue, Takahiro; Saito, Takuya; Wada, Hirofumi.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 86, No. 1, 011804, 26.07.2012.

Research output: Contribution to journalArticle

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